Least Common Multiple of 63/84, 360/30, 392/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/84, 360/30, 392/982 quickly i.e. 8820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/84, 360/30, 392/982 is 8820.

LCM(63/84, 360/30, 392/982) = 8820

LCM of 63/84, 360/30, 392/982

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 63/84,360/30,392/982

Given numbers are 63/84,360/30,392/982

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 63,360,392

Least Common Multiple of Numerators i.e. LCM of 63,360,392 is 17640.

GCF of Denominators means GCF of 84,30,982 as per the given fractions.

GCF of 84,30,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,360,392

LCM of Fractions 63/84,360/30,392/982 is 8820

2 63, 360, 392
2 63, 180, 196
2 63, 90, 98
3 63, 45, 49
3 21, 15, 49
7 7, 5, 49
1, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 5 x 7 = 17640

Least Common Multiple of 63,360,392 with GCF Formula

Least Common Multiple of 63,360,392 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 63,360,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,360,392) = 1

common factors(in case of two or more numbers have common factors) = 504

GCF(63,360,392) x common factors =1 x 504 = 504

LCM(63,360,392) = ( 63 × 360 × 392 ) / 504

LCM(63,360,392) = 8890560 / 504

LCM(63,360,392) = 17640


Lets's calculate GCF of 84,30,982

2 84, 30, 982
42, 15, 491

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17640/2

Therefore the LCM of Fractions 63/84,360/30,392/982 is 8820

Greatest Common Factor of 84,30,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,30,982 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 84,30,982 . The biggest common factor number is the GCF number.
So the greatest common factor 84,30,982 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 63/84, 360/30, 392/982

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 63/84, 360/30, 392/982?

Answer: LCM of Numerators as per given numbers 63/84, 360/30, 392/982 is

LCM of Numerators i.e. for 63,360,392 is 17640

GCF of denominators i.e. for 84,30,982 is 2.

Thus, LCM of Fractions is 8820.Finally, LCM of Fractions for 63/84, 360/30, 392/982 is 8820.